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COMEDK2021PhysicsThermodynamics

For an ideal gas, coefficient of volume expansion is given by

Options

  1. A1 p
  2. B1 p V
  3. C1 R
  4. D1 T

Correct answer

D. 1 T

Step-by-step solution

The equation of state for an ideal gas is PV = nRT . The coefficient of volume expansion is defined as = 1 V ( V T )_ P . From the ideal gas equation, V = nRT P . Differentiating V with respect to T at constant pressure P , we get ( V T )_ P = nR P . Substituting this into the expression for , we have = 1 V ( nR P ) . Since V = nRT P , we can write nR P = V T . Therefore, = 1 V ( V T ) = 1 T . Answer: 1 T

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